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Finding the Fourth Proportional to 1,972.56, 2,957.22 and 819.12

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Solution

The fourth proportional to 1,972.56, 2,957.22 and 819.12 is: 1,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.56 : 2,957.22 = 819.12 : x
  2. Step 2: Convert to fraction form
    1,972.56/2,957.22 = 819.12/x
  3. Step 3: Cross multiply
    1,972.56x = 2,957.22 × 819.12
  4. Step 4: Simplify right side
    1,972.56x = 2,422,318.05
  5. Step 5: Solve for x
    x = 2,422,318.05/1,972.56
  6. Step 6: Final answer
    x = 1,228.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.